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Finding the Third Proportional to 24,223.50 and 35,376.75

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Solution

The third proportional to 24,223.50 and 35,376.75 is: 51,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.50 : 35,376.75 = 35,376.75 : x
  2. Step 2: Convert to fraction form
    24,223.50/35,376.75 = 35,376.75/x
  3. Step 3: Cross multiply
    24,223.50x = 35,376.75 × 35,376.75
  4. Step 4: Simplify right side
    24,223.50x = 1,251,514,440.56
  5. Step 5: Solve for x
    x = 1,251,514,440.56/24,223.50
  6. Step 6: Final answer
    x = 51,665.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.